Proof for Validity of Construction of an Angle of 60 Degrees

Q.

For making an angle of 105${}^{\circ }$, you need to construct a 60${}^{\circ }$ angle too.

1. True

2. False

Q.

In the given figure
if $\angle BAC={60}^{\circ }$, AB = AC, then

1. AB=AC

2. AB=BC

3. BC = AC

4. none of the above

Q. Which of the following diagrams shows the construction of a 45° angle using only a compass and a ruler?

1. 
2. 
3. 
4. 

Q.

Steps for the construction of a 30° angle.

Choose the correct order.

1: Draw a ray OA.

2: With B as centre and the same radius as before, draw another arc to cut the previous arc at C.

3: Draw the bisector OE of ∠AOD.

4: Join OC and produce it to D.

5: With O as centre and any suitable radius draw an arc above OA cutting it at a point B.

1. 1, 2, 5, 3, 4

2. 1, 2, 5, 4, 3

3. 1, 5, 2, 3, 4

4. 1, 5, 2, 4, 3

Q.

Which of the following can be constructed using the following steps?

Step1:Put the tip of the compass at point A

Step 2: Open the compass so that pencil tip is at point B.

Step 3: Draw an arc above AB.

Step 4: Without changing the opening, put the metal tip on point B and draw an arc intersecting the first arc at point C.

Step 5: Draw AC and BC.

1. Right angle triangle

2. Obtuse angle triangle

3. Scalene triangle

4. Equilateral triangle

Q. To prove the construction of ${60}^{\circ }$ angle we use the concept of _____ triangle.

1. scalene
2. equilateral
3. right-angled
4. isosceles

Q.

In the given figure if $\angle$ABC = ${60}^{\circ }$, AB = AC, then

1. AB=AC

2. AB=BC

3. BC = AC

4. none of the above

Q.

Create an angle of ${30}^{\circ }$by using angle bisection while also using protractor. [3 MARKS]

Q. To prove the construction of ${60}^{\circ }$ angle we use the concept of _____ triangle.

1. scalene
2. equilateral
3. right-angled
4. isosceles

Q.

We can use the concept of an equilateral triangle to construct a 60${}^{\circ }$ angle.

1. True

2. False

Q. The picture represents a ruler and a compass construction of ∠XPQ, which measures _____.

1. 105°
2. 120°
3. 135°
4. 165°

Q. The picture represents a ruler and a compass construction of ∠POB, which measures _____ .

1. 60°
2. 120°
3. 150°
4. 142.5°

Q. Which of the following diagrams shows the construction of a 45° angle using only a compass and a ruler?

1. 
2. 
3. 
4. 

Q.

For constructing an angle of ${60}^{\circ }$, we need to draw __ arc/arcs.

Q.

For constructing which among the following angles(in degrees) is a protractor not necessary?

1. 40^∘

2. None of these

3. 45^∘

4. 25^∘

Q. Find the value of external angle e for the given triangle.

Q. The picture represents a ruler and a compass construction of ∠POB, which measures _____ .

1. 120°
2. 150°
3. 60°
4. 142.5°

Q. Question 3 (i)
Construct the angles of the following measurements:
(i) ${30}^{\circ }$